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 Second main theorem and uniqueness problem of zero-order meromorphic mappings for hyperplanes in subgeneral position Bull. Korean Math. Soc. 2018 Vol. 55, No. 1, 205-226 https://doi.org/10.4134/BKMS.b160932Published online January 31, 2018 Thi Tuyet Luong, Dang Tuyen Nguyen, Duc Thoan Pham National University of Civil Engineering, National University of Civil Engineering, National University of Civil Engineering Abstract : In this paper, we show the Second Main Theorems for zero-order meromorphic mapping of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)$ intersecting hyperplanes in subgeneral position without truncated multiplicity by considering the $p$-Casorati determinant with $p\in\mathbb C^m$ instead of its Wronskian determinant. As an application, we give some unicity theorems for meromorphic mapping under the growth condition order=0". The results obtained include $p$-shift analogues of the Second Main Theorem of Nevanlinna theory and Picard's theorem. Keywords : second main theorem, Nevanlinna theory, Casorati determinant, zero-order meromorphic mapping, hyperplanes MSC numbers : Primary 53A10; Secondary 53C42, 30D35, 32H30 Downloads: Full-text PDF